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Finding the Fourth Proportional to 3,679.98, 5,516.10 and 1,730.58

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Solution

The fourth proportional to 3,679.98, 5,516.10 and 1,730.58 is: 2,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.98 : 5,516.10 = 1,730.58 : x
  2. Step 2: Convert to fraction form
    3,679.98/5,516.10 = 1,730.58/x
  3. Step 3: Cross multiply
    3,679.98x = 5,516.10 × 1,730.58
  4. Step 4: Simplify right side
    3,679.98x = 9,546,052.34
  5. Step 5: Solve for x
    x = 9,546,052.34/3,679.98
  6. Step 6: Final answer
    x = 2,594.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.